A further improvement of the quantitative subspace theorem

DOI10.4007/annals.2013.177.2.4zbMath1352.11060arXiv1008.2340OpenAlexW2963878492MaRDI QIDQ1947638

Jan-Hendrik Evertse, Roberto G. Ferretti

Publication date: 23 April 2013

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2340

zbMATH Keywords

Diophantine approximationSchmidt subspace theoremFaltings product theoremRoth lemma

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Approximation to algebraic numbers (11J68) Approximation in non-Archimedean valuations (11J61) Schmidt Subspace Theorem and applications (11J87)

Related Items

Vertices of the Harder and Narasimhan polygons and the laws of large numbers ⋮ On corner avoidance of \(\beta\)-adic Halton sequences ⋮ An effective Schmidt's subspace theorem for non-linear forms over function fields ⋮ Quantitative versions of the subspace theorem and applications ⋮ Applications of the Subspace Theorem to Certain Diophantine Problems ⋮ On the quantitative subspace theorem ⋮ On sums of \(S\)-integers of bounded norm ⋮ On the quantitative subspace theorem ⋮ On arithmetic inequalities for points of bounded degree ⋮ Mahler's work on the geometry of numbers ⋮ Mahler's work on Diophantine equations and subsequent developments ⋮ A note on the number of $S$-Diophantine quadruples ⋮ A defect relation for non-Archimedean analytic curves in arbitrary projective varieties

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